(min,+)-wavelets for Hölder exponents calculations and multi-resolution analysis of one-dimensional signals.

Orateur: Abdel KENOUFI et Michel GONDRAN
Localisation: , France
Type: Séminaire cristolien d'analyse multifractale
Site: UPEC
Salle: en ligne
Date de début: 06/05/2021 - 13:45
Date de fin: 06/05/2021 - 14:45

One proposes to use the framework of idempotent tropical mathematics, such as (min,+)-dioidalgebra to build promising processing tools based on the so-called (min,+)-wavelets which are able for example to compute easily Hölder exponents for signals such as Weierstrass Functions, scaling functions and singular spectra of Man-delbrot Binomial Measures and Riemann Series. Comparisons to theoretica land/or numerical results will be exhibited.